Results 31 to 40 of about 130 (113)
A Comparative Study of the Pendulum Equation Using Two Analytical Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif +2 more
wiley +1 more source
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
wiley +1 more source
A model of competing species that exhibits zip bifurcation
Revista Integración, 2017 The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri +2 more
doaj +1 more source
Extension of the method of quasilinearization for stochastic initial value problems
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 69-75, 1995., 1994 In this paper we extend the method of quasilinearization to stochastic initial value problems. Further we prove that the iterates converge uniformly almost surely to the unique solution and the convergence is quadratic.
N. Shahzad, Farzana A. McRae
wiley +1 more source
Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 103-112, 1994., 1993 Time‐invariant nonlinear systems with differentiable motions are considered. The algorithmic necessary and sufficient conditions are established in various forms for one‐shot construction of a Lyapunov function, for asymptotic stability of a compact invariant set and for the exact determination of the asymptotic stability domain of the invariant set ...
Ljubomir T. Grujic
wiley +1 more source
Boundary Value Problems, 2011 This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
doaj
Journal of the Egyptian Mathematical Society, 2017 In the present paper, a novel technique combining the homotopy concept with variational formula has been presented to find accurate analytical solution for nonlinear differential equation with inertia and static non-linearity.
G.M. Ismail
doaj
Friedmann equations as n-dimensional dynamical system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with n types of non-interacting barotropic perfect fluids.
Branković Danijela
doaj +1 more source
On the solution of (n+1)-dimensional fractional M-Burgers equation
Alexandria Engineering Journal, 2021 In the paper, (n+1)-dimensional fractional M-Burgers equation with a force term in the sense of the Caputo fractional derivative is considered. We solve this equation using homotopy perturbation method (HPM) and find its approximate analytical solution ...
Adem Kilicman +2 more
doaj